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gr-qc2010★ 5 cited
Algebraic classification of spacetimes using discriminating scalar curvature invariants
Alan Coley, Sigbjorn Hervik
The Weyl and Ricci tensors can be algebraically classified in a Lorentzian spacetime of arbitrary dimensions using alignment theory. Used in tandem with the boost weight decomposit…
gr-qc2010★ 11 cited
Pseudo-Riemannian VSI spaces
Sigbjorn Hervik, Alan Coley
In this paper we consider pseudo-Riemannian spaces of arbitrary signature for which all of their polynomial curvature invariants vanish (VSI spaces). We discuss an algebraic classi…